Pith Number

pith:X7BOBBUA

pith:2016:X7BOBBUAF3M2SZLMZFA5RK3267

not attested not anchored not stored refs pending

On the strict monotonicity of the first eigenvalue of the $p$-Laplacian on annuli

Sarath Sasi, T. V. Anoop, Vladimir Bobkov

arxiv:1611.03532 v1 · 2016-11-10 · math.AP · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X7BOBBUAF3M2SZLMZFA5RK3267}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:01:10.678078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfc2e086802ed9a9656cc941d8ab7af7d18e3f3c98213a24beb1c0dcee8d1836

Aliases

arxiv: 1611.03532 · arxiv_version: 1611.03532v1 · doi: 10.48550/arxiv.1611.03532 · pith_short_12: X7BOBBUAF3M2 · pith_short_16: X7BOBBUAF3M2SZLM · pith_short_8: X7BOBBUA

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/X7BOBBUAF3M2SZLMZFA5RK3267 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: bfc2e086802ed9a9656cc941d8ab7af7d18e3f3c98213a24beb1c0dcee8d1836

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb9b6489f93586ea86b97a0a5f61fbcea9ce564f12ebc04bebb0207a32d77593",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-10T22:05:13Z",
    "title_canon_sha256": "687e6fc3046e420f8e9c83afd3031903b10a8c56bffd0d046c940eaec402a4d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.03532",
    "kind": "arxiv",
    "version": 1
  }
}